Properties of the Number -13104

Thirteen Thousand One Hundred Four

Basics

Value: -13105 → -13104 → -13103

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 7 × 13

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11001100110000

Octal: -31460

Duodecimal: -7700

Hexadecimal: -3330

Square: 171714816

Square Root: 114.47270417003348

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt(2 / ( (1+2*(k-4)*x+((k+4)*x)²) * (1-(k+4)*x+sqrt(1+2*(k-4)*x+((k+4)*x)²)) )). A337464

Numerators of coefficients of e² in the table of (2n)th du Bois Reymond constants. A85467

Expansion of sqrt(2 / ( (1-4·x+36·x²) * (1-6·x+sqrt(1-4·x+36·x²)) )). A337466

A symmetrical triangle sequence:t(n,m)=(-1)^m*(n - m)!*Binomial[n - 1, m] + (-1)^{n - m + 1}*(n - (n - m + 1))!*Binomial[n - 1, n - m + 1]. A176862

Triangle read by rows: T(n,c) = number of successive equalities in set partitions of n. A56857

G.f.: q * ∏_m>=1 (1-q^m)⁸*(1-q^2m)⁸. A2288

Order of the group SL(2,Z_n). A56

Smallest k such that σ(x) = k has exactly n solutions. A7368

Numbers k such that k² is a sum of consecutive cubes larger than 1. A126200

Floor(X/Y) where X = concatenation of the (n+1)-st even number through the (2n)-th even number and Y = concatenation of first n even numbers. A67091